OAI/MeasureTheory/Falconer/Estimates/PlanarSquash.lean

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11 declarations, 0 contain sorry, 0 declared as axioms

A fixed anisotropic change of coordinates narrows every bounded slope. The same map acts on points and line parameters; incidence widths contract by four and both maps have inverse Lipschitz constant sixteen.

  1. def OAI.Falconer.planarSquash line 11
  2. def OAI.Falconer.planarUnsquash line 12
  3. theorem OAI.Falconer.planarSquash_leftInverse line 14
  4. theorem OAI.Falconer.planarSquash_rightInverse line 19
  5. theorem OAI.Falconer.planarSquash_injective line 24
  6. theorem OAI.Falconer.planarSquash_dist_bounds line 27
  7. theorem OAI.Falconer.planarSquash_separated line 38
  8. theorem OAI.Falconer.planarSquash_chart line 47
  9. theorem OAI.Falconer.planarSquash_slope line 56
  10. theorem OAI.Falconer.planarSquash_incident line 63
  11. theorem OAI.Falconer.planarSquash_regular line 77